US1482152A - Calculating machine - Google Patents

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US1482152A
US1482152A US261765A US26176518A US1482152A US 1482152 A US1482152 A US 1482152A US 261765 A US261765 A US 261765A US 26176518 A US26176518 A US 26176518A US 1482152 A US1482152 A US 1482152A
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shaft
disk
radius
elements
logarithmic
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US261765A
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Taylor W Ross
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06GANALOGUE COMPUTERS
    • G06G3/00Devices in which the computing operation is performed mechanically

Description

fM/zz' 11- M44441 Jan. 29, 1924. 1,482,152
W. ROSS CALCULATING MACHINE Filed Nov. 9, 1918. 2 Sheets-Sheet 1 Qbi/twm T 13 [0 Wli o 55,
6 mm aw Swvenkz' I Jan. 29 1924.
1,482,152 T. w. R055 CALCULQTING MACX'IINE Filed Nov, 1918 2 Sheets-Sheet 2 @Zar WW Gum 34/ Patented Jan. 29, 1924.
UNITED STATES TAYLOR W. ROSS, OF NEWPORT NEWS, VIRGINIA.
CALC ULATI'NG MACHINE.
Application filed November 9, 1918. Serial No. 261,765.
To a]? whom it may concern:
Be it known that l, TAYLOR V. Ross, a citizen of the United States, residing at Newport News, in the county of \Varwick and State of Virginia, have invented a new and useful Calculating Machine, of which the following is a specification.
(ommcrcial calculating machines now commonly in use are of the addition type: so that processes of multiplication can only be carried out by successive addition processes, and processes of division can only be carried out by subtraction processes. As a consequence, such machines are of little practical value. for the purpose of multiplication and division, because they require a very large amount of mental operation.
The object of my present invention is to produce a mechanism by means of which successive processes of multiplication or division may be carried out in any desired order without the exercise of a high degree of skill and without the need of the exercise of mental processes other than those required in the mere setting of indicating elements to indicate the desired multipliers or divisors.
The accompanying drawings illustrate my invention. Fig. 1 is an axial section; Fig. 2 a side elevation; Fig. 3 a detail of one pair of logarithmic elements.
In the drawings, 10 indicates .the main shaft, provided with an operating lever 11.
Carried by shaft 10 is an indicator disk 12,
the circumference of which is divided into nine equal main divisions which, in turn, are subdivided into ten equal subdivisions and these subdivisions again each subdivided into ten equal divisions, and so on to as line a degree of subdivision as may be practical, depending upon the diameter of the disk.
A pointerl3 is provided adjacentthe circumference of disk 12. Secured to shaft 10 is an element 14, the periphery of which is determined by a variable radius which is a logarithmic function of the variable number 1 from 1 to 10 measuring the angular distance of the radius from the initial radius of element 1 1. This'element 1% may be conveniently referred to as the numerical element. Mating with the numerical element 14: is an element 15, the periphery of which is determined by a variable radius, (angularly spaced from the initial radius by an angle which is measured by the logarithm of the number represented by the corresponding and comple mentary radius of the numerical element 14), which added to the corresponding and complementary radius of element 14, is a constant equal to the distance between the axes of shaft 10 and shaft 16 which carries element 15. This element may be conveniently referred to as the logarithmic element. Any suitable means, such as gear teeth, straps, etc, may be provided to form a connection between the numerical and logarithmic elements 14 and 15, so that ro tation of one will produce corresponding rotation of the other.
In the present drawing, 1 have illustrated a tension tape connectionv 17, between the elements 14: and 15, this tape 17 being anchored at 18 to element 14 near the longest radius of said element and passed thence around the tip thereof and from there wrapped around the periphery of element 15 and around the tip of the longest radius of element 15 and attached to an adjusting screw 20 which passes through an adjusting nut 21 mounted in element 15 and backed by a spring 22 which will maintain a tension in tape 17.
In order that reverse rotation of shaft 10 may act upon shaft 16 by a pull upon a tension tape, instead of a push upon tape 17, I provide the companion numerical elements 14 and 15', corresponding to elements 1 1 and 15, and these are connected by a tape 17, one end of which is anchored at 23 to element 15 and passed from thence around the periphery of element 14' and anchored, by means of adjusting screw 20 and nut 21', adjacent the smallest radius of element 1 1'.
Shaft 16 lies parallel with shaft 10 and carries a friction clutch member 25 which cooperates with the friction clutch member 26 carried by shaft 27 alined with shaft 16, the clutch member 25 being provided with an operating lever 28, by means of which it may be thrown into and out of engagement with member 26.
Secured to shaft 27 is a disk 29 provided at one point with hole 30 which is adapted to receive a pin 31 carriedby logarithmic elements 32, 32, which correspond to the elements 15, 15, said elements 32, 32 being journaled freely upon shaft 27. The
elements 32 and 32' are connected by tapes (like the tapes *1? and 17 already de scribed) with numerical elements 33 and 323, respectively, corresponding to the elements 1- and l t, and secured to a shaft; 3-1;. Shat't 31- is at 'anged in alinement with shaft 10 and arries an indicator disk 35, which is a duplicate or disk 12. A pointer 36 is arranged adjacent disk 35 and shaft 3 1- provided with a suitabl operating arm 37.
The operation is as follows: The normal position of the parts are with the shaft 10 turned as far as possible in a countcrclockwise direction (Fig. at which time the long-radius faces of the two elements 14, 15 and 14, 15, are in engagen'ient with each other. Similarly the elements 32, 33 and 32', 33 are in contact with each other and pin 31 is withdrawn from hole 30 of disk 2%. The initial or unity position of disk 12 lies opposite pointer, 13 and the initial or unity position ot, disk 35 lies opposite pointer 36. The operator, in order to obtain the result of multiplying action,turns shaft 10 in a clockwise direction until that portion of disk 12, corresponding in its indication to the multiplicand, comes opposite pointer 13, this operation turning shaft 16 through an angular distance, measured on the circumference oi a circle, equal to the logarithm of the multiplicaml (where the whole circumference equals the logarithm of ten, which is unity and thus carrying sha ft 27 and disk 29 through the same angular distance. Thereupon, lever 28 will be thrown so as to disconnect clutch member 25 from clutch member 26 and shaft 10 will then be returned to initial position. Clutch 25 will be returned to clutching position and shaft 10 will then be again moved in a clockwise direction until disk 12 is brought to a position opposite pointer 13 to indicate the multiplier, this movement further advancing the disk 29 through an angular distance corresponding to the logarithm of the multiplier and thereby adding the logarithms of multiplicand and multiplier together. This operation will be repeated as many times as there are multipliers to be used, the operator either keeping track of the number of complete rotations of disk 29 or noting the final reading of a counter 40 which will be advanced step by step by means of a pin 41 carried by disk 29 as disk 29 passes through a complete revolution in anti-clockwise direction viewed from lett-' hand side.
If a division is desired at any time during the process, the operator will, after returning shaft 10 to initial position, leave clutch member 25 out of engagement with clutch member 26 while shaft 10 is being turned in a clockwise direction to bring disk 12 into position to indicate the divisor. Thereupon, clutch member 25 will be thrown each time disk initial point.
When as many operations of multiplication and division have been entered into the machine, in the manner described, as may be.
desired, the operator will turn sha'tt Iii from.
.its initial position until pin 3t may be entcred into hole I50, whereupon the reading of disk 35 opposite the pointer 235 will be the final result. of the various multiplying and dividing operations which have been indicated by the machine. lhedecimal point in the final result will-be determii'ied by the reading of counter it) or the memory of the operator. in multiplication, counter -10 adds the number ot times disk 29 passes through the initialposition in its forward movement and in division subtracts the number of times disk 29 passes through the initial position in its backward movement.
(iounter d0 of the common Veeder type havinga star wheel 41, is also arranged so that it can be moved forward or backward independently of the movement disk 29, in order that it may be made to register the effect, in the answer, of the position of the decimal point in each multiplier and. divider, as same is set up on machine. T hat is. the counter is advanced or moved backward for each multiplier or "divider, according to well-known rules which may be stated as follows If the multiplier is 10 or more, and less than 100, the counter -10 is advanced one step, thus advising the operator as to the decimal position of the final result, in the manner well known in connection with the use of logarithms.
It the multiplier is a traction, the first figure is in the tenths digit, the counter 40 is moved backward one step and an additional step backward tor each digit which the first figure may be to the right of the tenths digit.
It the divisor is ten or more and less than one hundred, the counter 40 is moved backward one step and an additional step for each additional higher digit.
If the divisor is a :l'raction, the first figure of which is in the tenths digit, the counter -10 is advanced one step and an additional step advanced for each digit which ltlt) the first figure may beto the right of the tenths digit.
'lVhen reading counter 40 for the location of the decimal point, it may be found that the counter has advanced or moved backward so many spaces from the initial position which gives the operator the location of the decimal point in the answer by well known rules, as follows:
If the counter is at the initial position, the answer has one digit to the left of the decimal point and an additional digit to the left of the decimal point for each step the counter has moved forward. I
If the counter has moved backward, the answer is a fraction whose first figure is in the digit to the right of the decimal point corresponding to the number of steps the counter has moved backward.
It will be understood that the accuracy of the final result will be the same as that of any similar set of operations by use of logarithm and will depend in great measure upon the fineness of the sub-divisions of disks 12 and 35 and this, in turn, will dependto a considerable extent upon the diameters of these elements.
I claiml. A calculating machine comprising a shaft carrying a number-indicating element 'indicating its angular position, a second shaft, variable-radius connecting elements between the first and the second shafts whereby movement of the first shaft will result in a movement of the second shaft proportionate to a logarithmic function of the movement of the first shaft, a separable connection between the first and second shafts whereby successive movements of the first shaft may he cumulated in the second shaft, a third shaft carrying a number-indicating element, and separable connections between tliesccond and third shafts whereby the cumulated position of the second Sliftft may be translated into a number position of the third shaft corresponding to the logarithmic positionof the second shaft.
i2. calculating machine comprising a shaft carrying a number-indicating element indicating its angular position, a second shaft. variable-radius connecting elements between the first and the second shafts whereby movement of the first shaft will result in a movement of-thesecond shaft proportionate to a logarithmic function of the movement of the first shaft. and a separable connection between the first and second shafts whereby successive movements of the first shaft may be cumulated in the second I shaft.
51A calculating machine comprising a shaft carrying a number indicating element corresponding to varying angular positions of the shaft, a second shaft, a variable-radius element carried by the first shaft and having a periphery having varying radii which are circumferentially spaced in functions of'one-ninth of the circumference and have lengths in logarithmic functions corresponding to successive radii, a coacting variable radius element carried with the second shaft and having a periphery having varying radii which are circumferentially spaced in logarithmic functions and lengths equal to a constant minus the length of a corresponding radius of the cooperating element, a third shaft, and a separable connection between the second and third shafts.
4. A calculating machine comprising a shaft carrying a number-indicating element corresponding to varying angular positions of the shaft, a second shaft, a variable-radius element carried by the first shaft and having a periphery having varying radii avhich are circumferentially spaced in functions of one-ninth of the circumference and have lengthsin logarithmic functions corresponding to successive radii, a coacting variable radius element carried with the sec ond shaft and having a periphery having 'varyingradii which are .circumferentially spaced in logarithmic functions and lengths equal toa constant minus the length ofa corresponding radius of the cooperating element, a third shaft, a separable connection between the second. and third shafts, a
fourth shaft, a number-indicating element carried by the fourth shaft, cooperating elements connecting the third and fourth shafts similar to the connections between the first and second shafts, and a separable connection between the third and fourth may be positioned relative to the setting element, and connections between said indicator and the second number-indicating element, to translate the logarithmic position of the setting element into a-nuinber indication on thesecond number-indicating element.
6. A calculating machine comprising a shaft carrying a number-indicating element indicating its angular position, a second shaft, variable-radius connecting elements between the first and the second shafts whereby movement of the first shaft will result in a movement of the second shaft proportionate to a logarithmic function of the movement of the first shaft, a separable Ill) connection between the first and second shafts whereby successive movements of the first shaft may be cnmulated in the second shaft. a third shaft carrying a number-indicating element, an indicator associated with the second shaft whereby it may be positioned relative to the cumulated position of said shaft, and connections between the indicator and the third shaft whereby the cumulated position of the second shaft may be translated into a number position of the third shaft corresponding to the logarithmic position of the second shaft.
7.1K calculating machine comprising a shaft carrying a number-indicating element corresponding to varying angular positions of the shaft, a second shaft, a variable-radius element carried by the first shaft and having a periphery having" varying radii which are cn'cumferentially spaced 1n functions of one-ninth of the circumference and have lengths in logarithmic functionscorresponding to successive radii, a coacting variable radius element carried with the second shaft and having a periphery having varying radii which are circumferentially spaced in logarithmic functions and lengths equal to a constant minus the length of :1 corresponding radius of the cooperating element, a third shaft, a separable connection between the second and third shafts, a fourth shaft, a number-indicating element carried by the fourth shaft, cooperating elements connecting the third and fourth shafts similar to the connections between the first and second shafts, indicating means by which the fourth shaft may be positioned relative to the cumulated position of the third shaft, and connections between said indicator and the fourth shaft whereby the cumulated position of the third shaft may be translated into a number position corresponding to the logarithmic position of the third shaft.
In witness whereof I have hereunto set my hand at Newport News, Virginia, this fifth day of November, A. D. one thousand nine hundred and eighteen.
TAYLOR W. ROSS.
US261765A 1918-11-09 1918-11-09 Calculating machine Expired - Lifetime US1482152A (en)

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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2510391A (en) * 1946-11-06 1950-06-06 Robert H B Evans Logarithmic calculator
US2638269A (en) * 1942-08-22 1953-05-12 Sperry Corp Ballistic mechanism
US2767909A (en) * 1952-03-31 1956-10-23 Phillips Petroleum Co Polynomial computer
US2898038A (en) * 1956-09-12 1959-08-04 Andre J Meyer Function computers

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2638269A (en) * 1942-08-22 1953-05-12 Sperry Corp Ballistic mechanism
US2510391A (en) * 1946-11-06 1950-06-06 Robert H B Evans Logarithmic calculator
US2767909A (en) * 1952-03-31 1956-10-23 Phillips Petroleum Co Polynomial computer
US2898038A (en) * 1956-09-12 1959-08-04 Andre J Meyer Function computers

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